Gain correction factor for y2 = 0.991220 2024 Al f_r_e_f = 1.0800 MHz JE121AF Model contains constant terms in both waveforms. No. of linear parameters: 2 Model contains 4 coupled sine/cosine waves No. of linear parameters: 10 No. of nonlinear parameters: 8 Reference signal not in the data (No pure exponential in model). No pure sine/cosine waves in model Weights are set to 1 Enter initial values of nonlinear parameters: nonlinear parameters: 1 3.000000E-02 2 -7.200000E-01 3 3.000000E-02 4 -7.800000E-02 5 3.000000E-02 6 -3.500000E-02 7 3.000000E-02 8 2.200000E+00 Terms with nonlin parm 1: 3 4 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 2: 3 4 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 3: 5 6 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 4: 5 6 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 5: 7 8 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 6: 7 8 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 7: 9 10 0 0 0 0 0 0 0 0 0 Terms with nonlin parm 8: 9 10 0 0 0 0 0 0 0 0 0 1 iteration 0 nonlinear parameters 2.2748763E-01 -6.5684979E-01 -2.5387957E+02 -2.7282432E-04 1.4432544E-01 1.5099242E+00 4.7545679E-01 1.3367140E+00 0 weighted norm of residual = 1.2182824E+00 nu = 0.1000000E+01 iteration 1 nonlinear parameters 2.8024810E-02 -7.1863517E-01 3.8106064E-02 -7.6978617E-02 3.4922203E-02 -3.4530336E-02 5.2991737E-02 2.1977768E+00 1 weighted norm of residual = 1.0235167E+00 nu = 0.5000000E+00 norm(delta-alf) / norm(alf) = 1.085E-02 ...................................................................... iteration 10 nonlinear parameters 2.3107002E-02 -7.1766736E-01 3.9334157E-02 -7.4082668E-02 4.1483213E-02 -3.3720202E-02 2.1646691E-02 2.1851926E+00 1 weighted norm of residual = 6.0351502E-01 nu = 0.1757812E-01 norm(delta-alf) / norm(alf) = 6.373E-08 ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' linear parameters 0.1326802E-03 -0.6374252E-03 0.6075471E-01 0.1088359E+00 -0.3286440E-01 0.1424325E+00 -0.4730801E+00 0.5547904E+00 0.5206653E-01 -0.9621184E-01 nonlinear parameters 0.2310700E-01 -0.7176674E+00 0.3933416E-01 -0.7408267E-01 0.4148321E-01 -0.3372020E-01 0.2164669E-01 0.2185193E+01 weighted norm of residual = 0.6035150E+00 weighted estimated variance = 0.1358055E-03 1 1 Param. Estimate Std. Deviation t-ratio E( 1) 1.326802E-04 3.221964E-04 4.117993E-01 F( 1) -6.374252E-04 3.221964E-04 -1.978375E+00 E( 2) 6.075471E-02 3.449005E-03 1.761514E+01 F( 2) 1.088359E-01 3.449005E-03 3.155574E+01 E( 3) -3.286440E-02 1.007596E-02 -3.261664E+00 F( 3) 1.424325E-01 1.007596E-02 1.413587E+01 E( 4) -4.730801E-01 1.133170E-02 -4.174839E+01 F( 4) 5.547904E-01 1.133170E-02 4.895916E+01 E( 5) 5.206653E-02 3.154004E-03 1.650807E+01 F( 5) -9.621184E-02 3.154004E-03 -3.050467E+01 ------------------------------------------------------- B( 2) 2.310700E-02 5.447389E-04 4.241849E+01 C( 2) -7.176674E-01 8.669788E-05 -8.277796E+03 B( 3) 3.933416E-02 1.640508E-03 2.397682E+01 C( 3) -7.408267E-02 2.610949E-04 -2.837384E+02 B( 4) 4.148321E-02 3.774579E-04 1.099016E+02 C( 4) -3.372020E-02 6.007429E-05 -5.613083E+02 B( 5) 2.164669E-02 5.496051E-04 3.938590E+01 C( 5) 2.185193E+00 8.747237E-05 2.498152E+04 wtd residual sum of squares: 3.642304E-01 wtd residual mean square: 1.358055E-04 wtd residual standard error: 1.165356E-02 coefficient of determination (r-square): 9.652328E-01 1 For Damped Sine/Cosine Pairs ---------------------------- A( 2) = 1.2464506E-01 +/- 3.4490051E-03 [V], t = 3.61E+01 B( 2) = 2.3107002E-02 +/- 5.4473887E-04 [ms-1], t = 4.24E+01 C( 2) = -7.1766736E-01 +/- 8.6697884E-05 [kHz], t =-8.28E+03 D( 2) = -2.3544156E-01 +/- -6.1364287E-03 [ms] A( 3) = 1.4617481E-01 +/- 1.0075962E-02 [V], t = 1.45E+01 B( 3) = 3.9334157E-02 +/- 1.6405079E-03 [ms-1], t = 2.40E+01 C( 3) = -7.4082668E-02 +/- 2.6109494E-04 [kHz], t =-2.84E+02 D( 3) = -3.8617838E+00 +/- -1.4808719E-01 [ms] A( 4) = 7.2910711E-01 +/- 1.1331697E-02 [V], t = 6.43E+01 B( 4) = 4.1483213E-02 +/- 3.7745792E-04 [ms-1], t = 1.10E+02 C( 4) = -3.3720202E-02 +/- 6.0074294E-05 [kHz], t =-5.61E+02 D( 4) = -1.0746512E+01 +/- -7.3355654E-02 [ms] A( 5) = 1.0939672E-01 +/- 3.1540041E-03 [V], t = 3.47E+01 B( 5) = 2.1646691E-02 +/- 5.4960508E-04 [ms-1], t = 3.94E+01 C( 5) = 2.1851926E+00 +/- 8.7472365E-05 [kHz], t = 2.50E+04 D( 5) = -7.8278472E-02 +/- 2.0998504E-03 [ms] 1 Correlation Matrix E 01 F 01 E 2 F 2 E 3 F 3 E 4 F 4 E 5 F 5 B 2 C 2 B 3 C 3 B 4 C 4 E 01 1.000 0.000 -0.006 0.001 -0.038 0.052 -0.130 -0.044 -0.002 -0.001 -0.002 -0.005 0.048 -0.019 0.050 -0.099 F 01 0.000 1.000 -0.001 -0.006 -0.052 -0.038 0.044 -0.130 0.001 -0.002 -0.005 0.002 -0.019 -0.048 -0.099 -0.050 E 2 -0.006 -0.001 1.000 0.000 0.020 0.015 -0.005 0.024 0.003 -0.004 0.445 0.797 0.008 0.019 0.018 0.009 F 2 0.001 -0.006 0.000 1.000 -0.015 0.020 -0.024 -0.005 0.004 0.003 0.797 -0.445 0.019 -0.008 0.009 -0.018 E 3 -0.038 -0.052 0.020 -0.015 1.000 0.000 -0.293 0.350 0.008 -0.001 -0.003 0.019 -0.231 0.925 0.374 -0.027 F 3 0.052 -0.038 0.015 0.020 0.000 1.000 -0.350 -0.293 0.001 0.008 0.019 0.003 0.925 0.231 -0.027 -0.374 E 4 -0.130 0.044 -0.005 -0.024 -0.293 -0.350 1.000 0.000 0.003 -0.008 -0.018 0.005 -0.200 -0.314 -0.608 0.738 F 4 -0.044 -0.130 0.024 -0.005 0.350 -0.293 0.000 1.000 0.008 0.003 0.005 0.018 -0.314 0.200 0.738 0.608 E 5 -0.002 0.001 0.003 0.004 0.008 0.001 0.003 0.008 1.000 0.000 0.004 0.000 -0.001 0.006 0.003 0.005 F 5 -0.001 -0.002 -0.004 0.003 -0.001 0.008 -0.008 0.003 0.000 1.000 0.000 -0.004 0.006 0.001 0.005 -0.003 B 2 -0.002 -0.005 0.445 0.797 -0.003 0.019 -0.018 0.005 0.004 0.000 1.000 0.000 0.015 0.002 0.012 -0.008 C 2 -0.005 0.002 0.797 -0.445 0.019 0.003 0.005 0.018 0.000 -0.004 0.000 1.000 -0.002 0.015 0.008 0.012 B 3 0.048 -0.019 0.008 0.019 -0.231 0.925 -0.200 -0.314 -0.001 0.006 0.015 -0.002 1.000 0.000 -0.113 -0.282 C 3 -0.019 -0.048 0.019 -0.008 0.925 0.231 -0.314 0.200 0.006 0.001 0.002 0.015 0.000 1.000 0.282 -0.113 B 4 0.050 -0.099 0.018 0.009 0.374 -0.027 -0.608 0.738 0.003 0.005 0.012 0.008 -0.113 0.282 1.000 0.000 C 4 -0.099 -0.050 0.009 -0.018 -0.027 -0.374 0.738 0.608 0.005 -0.003 -0.008 0.012 -0.282 -0.113 0.000 1.000 B 5 0.000 0.002 0.004 0.000 0.003 -0.005 0.006 0.001 0.432 -0.799 0.001 0.003 -0.004 0.002 -0.002 0.004 C 5 0.002 0.000 0.000 -0.004 -0.005 -0.003 0.001 -0.006 -0.799 -0.432 -0.003 0.001 -0.002 -0.004 -0.004 -0.002 1 Correlation Matrix B 5 C 5 E 01 0.000 0.002 F 01 0.002 0.000 E 2 0.004 0.000 F 2 0.000 -0.004 E 3 0.003 -0.005 F 3 -0.005 -0.003 E 4 0.006 0.001 F 4 0.001 -0.006 E 5 0.432 -0.799 F 5 -0.799 -0.432 B 2 0.001 -0.003 C 2 0.003 0.001 B 3 -0.004 -0.002 C 3 0.002 -0.004 B 4 -0.002 -0.004 C 4 0.004 -0.002 B 5 1.000 0.000 C 5 0.000 1.000 1 FOR Cosine Wave PERIODOGRAM Sum of periodogram ordinates = 1.0870E+00 Average periodogram ordinate = 1.3268E-04 Maximum periodogram ordinate freq. , period , power = 0.915639 1.0921 1.1006E-02 P_maximum / P_average = 8.2951E+01 Fisher statistic = 1.1999E+01 The maximum peak is significantly above the average value Time-series differs significantly from white noise 4930 / 8192 periodogram ordinates outside white noise band 1 1 FOR Sine Wave PERIODOGRAM Sum of periodogram ordinates = 1.1230E+00 Average periodogram ordinate = 1.3709E-04 Maximum periodogram ordinate freq. , period , power = 0.915029 1.0929 1.2687E-02 P_maximum / P_average = 9.2547E+01 Fisher statistic = 1.1999E+01 The maximum peak is significantly above the average value Time-series differs significantly from white noise 4935 / 8192 periodogram ordinates outside white noise band